%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET207-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:40:31 PM UTC 2026
% Result : Unsatisfiable 3.85s 1.40s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 49 ( 23 unt; 0 def)
% Number of atoms : 84 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 35 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass2) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
~ subclass(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property3_1) ).
fof(f127,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f127]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f144,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f186,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f189,plain,
member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),intersection(x,cross_product(universal_class,universal_class))),
inference(unit_resulting_resolution,[],[f2,f122]) ).
fof(f190,plain,
~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),cross_product(domain_of(x),universal_class)),
inference(unit_resulting_resolution,[],[f3,f122]) ).
fof(f194,plain,
! [X0] : ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),intersection(cross_product(domain_of(x),universal_class),X0)),
inference(unit_resulting_resolution,[],[f21,f190]) ).
fof(f195,plain,
member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f22,f189]) ).
fof(f196,plain,
member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),x),
inference(unit_resulting_resolution,[],[f21,f189]) ).
fof(f227,plain,
not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)))),unordered_pair(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),unordered_pair(second(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),second(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)))))),
inference(unit_resulting_resolution,[],[f139,f195]) ).
fof(f249,plain,
! [X0,X1] :
( ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),cross_product(X0,X1))
| member(second(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),X1) ),
inference(superposition,[],[f137,f227]) ).
fof(f250,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),cross_product(X0,X1))
| ~ member(second(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),X1)
| ~ member(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),X0) ),
inference(superposition,[],[f138,f227]) ).
fof(f251,plain,
! [X0,X1] :
( ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),cross_product(X0,X1))
| member(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),X0) ),
inference(superposition,[],[f136,f227]) ).
fof(f252,plain,
member(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),universal_class),
inference(unit_resulting_resolution,[],[f251,f195]) ).
fof(f266,plain,
member(second(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),universal_class),
inference(unit_resulting_resolution,[],[f249,f195]) ).
fof(f284,plain,
~ member(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),domain_of(x)),
inference(unit_resulting_resolution,[],[f250,f266,f190]) ).
fof(f300,plain,
null_class = intersection(x,cross_product(unordered_pair(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)))),universal_class)),
inference(unit_resulting_resolution,[],[f144,f252,f284]) ).
fof(f326,plain,
! [X0] : member(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),unordered_pair(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),X0)),
inference(unit_resulting_resolution,[],[f9,f252]) ).
fof(f342,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)))),universal_class))
| member(X0,null_class)
| ~ member(X0,x) ),
inference(superposition,[],[f23,f300]) ).
fof(f2118,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),null_class)
| null_class = cross_product(domain_of(x),universal_class) ),
inference(superposition,[],[f194,f70]) ).
fof(f2163,plain,
! [X0] : member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),cross_product(unordered_pair(first(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class))),X0),universal_class)),
inference(unit_resulting_resolution,[],[f250,f266,f326]) ).
fof(f2245,plain,
member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(x),universal_class)),null_class),
inference(unit_resulting_resolution,[],[f342,f196,f2163]) ).
fof(f2372,plain,
null_class = cross_product(domain_of(x),universal_class),
inference(unit_resulting_resolution,[],[f2118,f2245]) ).
fof(f2399,plain,
~ subclass(null_class,cross_product(domain_of(x),universal_class)),
inference(unit_resulting_resolution,[],[f1,f190,f2245]) ).
fof(f2524,plain,
~ subclass(null_class,null_class),
inference(forward_demodulation,[],[f2399,f2372]) ).
fof(f2636,plain,
$false,
inference(forward_subsumption_resolution,[],[f2524,f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET207-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 01:06:19 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.85/1.40 % (2918525)Input is clausal, will run a generic CNF schedule.
% 3.85/1.40 % (2918531)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4008864079:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.85/1.40 % (2918533)lrs+10_1_sil=8000:sp=occurrence:random_seed=1639678571:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.85/1.40 % (2918530)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=303254227:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.85/1.40 % (2918534)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=474011068:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.85/1.40 % (2918535)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1696163896:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.85/1.40 % (2918532)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3520650040:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.85/1.40 % (2918536)dis-21_1_sil=8000:lcm=predicate:random_seed=4107097616:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.85/1.40 % (2918533)Refutation not found, incomplete strategy
% 3.85/1.40 % (2918533)------------------------------
% 3.85/1.40 % (2918533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918533)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918533)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.40 % (2918533)Time elapsed: 0.001 s
% 3.85/1.40 % (2918533)Peak memory usage: 87 MB
% 3.85/1.40 % (2918533)Instructions burned: 1 (million)
% 3.85/1.40 % (2918534)Refutation not found, incomplete strategy
% 3.85/1.40 % (2918534)------------------------------
% 3.85/1.40 % (2918534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918534)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918534)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.40 % (2918534)Time elapsed: 0.002 s
% 3.85/1.40 % (2918534)Peak memory usage: 88 MB
% 3.85/1.40 % (2918534)Instructions burned: 4 (million)
% 3.85/1.40 % (2918536)Instruction limit reached!
% 3.85/1.40 % (2918536)------------------------------
% 3.85/1.40 % (2918536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918536)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918536)Termination reason: Instruction limit
% 3.85/1.40 % (2918536)Termination phase: Saturation
% 3.85/1.40 % (2918536)Time elapsed: 0.037 s
% 3.85/1.40 % (2918536)Peak memory usage: 89 MB
% 3.85/1.40 % (2918536)Instructions burned: 118 (million)
% 3.85/1.40 % (2918535)Instruction limit reached!
% 3.85/1.40 % (2918535)------------------------------
% 3.85/1.40 % (2918535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918535)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918535)Termination reason: Instruction limit
% 3.85/1.40 % (2918535)Termination phase: Saturation
% 3.85/1.40 % (2918535)Time elapsed: 0.071 s
% 3.85/1.40 % (2918535)Peak memory usage: 90 MB
% 3.85/1.40 % (2918535)Instructions burned: 180 (million)
% 3.85/1.40 % (2918534)------------------------------
% 3.85/1.40 % (2918534)------------------------------
% 3.85/1.40 % (2918533)------------------------------
% 3.85/1.40 % (2918533)------------------------------
% 3.85/1.40 % (2918544)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2854293791:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.85/1.40 % (2918544)Refutation not found, incomplete strategy
% 3.85/1.40 % (2918544)------------------------------
% 3.85/1.40 % (2918544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918544)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918544)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.40 % (2918544)Time elapsed: 0.002 s
% 3.85/1.40 % (2918544)Peak memory usage: 88 MB
% 3.85/1.40 % (2918544)Instructions burned: 3 (million)
% 3.85/1.40 % (2918545)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3154908738:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.85/1.40 % (2918545)Refutation not found, incomplete strategy
% 3.85/1.40 % (2918545)------------------------------
% 3.85/1.40 % (2918545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918545)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918545)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.40 % (2918545)Time elapsed: 0.006 s
% 3.85/1.40 % (2918545)Peak memory usage: 89 MB
% 3.85/1.40 % (2918545)Instructions burned: 20 (million)
% 3.85/1.40 % (2918547)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3587341838:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.85/1.40 % (2918548)lrs+10_64_to=lpo:sil=8000:random_seed=2456642936:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.85/1.40 % (2918544)------------------------------
% 3.85/1.40 % (2918544)------------------------------
% 3.85/1.40 % (2918548)Instruction limit reached!
% 3.85/1.40 % (2918548)------------------------------
% 3.85/1.40 % (2918548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918548)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918548)Termination reason: Instruction limit
% 3.85/1.40 % (2918548)Termination phase: Saturation
% 3.85/1.40 % (2918548)Time elapsed: 0.044 s
% 3.85/1.40 % (2918548)Peak memory usage: 89 MB
% 3.85/1.40 % (2918548)Instructions burned: 128 (million)
% 3.85/1.40 % (2918547)Instruction limit reached!
% 3.85/1.40 % (2918547)------------------------------
% 3.85/1.40 % (2918547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918547)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918547)Termination reason: Instruction limit
% 3.85/1.40 % (2918547)Termination phase: Saturation
% 3.85/1.40 % (2918547)Time elapsed: 0.064 s
% 3.85/1.40 % (2918547)Peak memory usage: 88 MB
% 3.85/1.40 % (2918547)Instructions burned: 220 (million)
% 3.85/1.40 % (2918545)------------------------------
% 3.85/1.40 % (2918545)------------------------------
% 3.85/1.40 % (2918553)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2385960933:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.85/1.40 % (2918552)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=891597810:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.85/1.40 % (2918554)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3560799471:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 3.85/1.40 % (2918555)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3841155755:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 3.85/1.40 % (2918553)Instruction limit reached!
% 3.85/1.40 % (2918553)------------------------------
% 3.85/1.40 % (2918553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918553)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918553)Termination reason: Instruction limit
% 3.85/1.40 % (2918553)Termination phase: Saturation
% 3.85/1.40 % (2918553)Time elapsed: 0.059 s
% 3.85/1.40 % (2918553)Peak memory usage: 90 MB
% 3.85/1.40 % (2918553)Instructions burned: 159 (million)
% 3.85/1.40 % (2918552)Instruction limit reached!
% 3.85/1.40 % (2918552)------------------------------
% 3.85/1.40 % (2918552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918552)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918552)Termination reason: Instruction limit
% 3.85/1.40 % (2918552)Termination phase: Saturation
% 3.85/1.40 % (2918552)Time elapsed: 0.063 s
% 3.85/1.40 % (2918552)Peak memory usage: 89 MB
% 3.85/1.40 % (2918552)Instructions burned: 198 (million)
% 3.85/1.40 % (2918555)Instruction limit reached!
% 3.85/1.40 % (2918555)------------------------------
% 3.85/1.40 % (2918555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918555)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918555)Termination reason: Instruction limit
% 3.85/1.40 % (2918555)Termination phase: Saturation
% 3.85/1.40 % (2918555)Time elapsed: 0.029 s
% 3.85/1.40 % (2918555)Peak memory usage: 89 MB
% 3.85/1.40 % (2918555)Instructions burned: 107 (million)
% 3.85/1.40 % (2918531)First to succeed.
% 3.85/1.40 % (2918531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2918525"
% 3.85/1.40 % (2918530)Also succeeded, but the first one will report.
% 3.85/1.40 % (2918561)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=256284503:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 3.85/1.40 % (2918560)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1763706666:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 3.85/1.40 % (2918562)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3890694936:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 3.85/1.40 % (2918560)Instruction limit reached!
% 3.85/1.40 % (2918560)------------------------------
% 3.85/1.40 % (2918560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918560)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918560)Termination reason: Instruction limit
% 3.85/1.40 % (2918560)Termination phase: Saturation
% 3.85/1.40 % (2918560)Time elapsed: 0.041 s
% 3.85/1.40 % (2918560)Peak memory usage: 89 MB
% 3.85/1.40 % (2918560)Instructions burned: 109 (million)
% 3.85/1.40 % (2918561)Instruction limit reached!
% 3.85/1.40 % (2918561)------------------------------
% 3.85/1.40 % (2918561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.40 % (2918561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.40 % (2918561)CaDiCaL version: 2.1.3
% 3.85/1.40 % (2918561)Termination reason: Instruction limit
% 3.85/1.40 % (2918561)Termination phase: Saturation
% 3.85/1.40 % (2918561)Time elapsed: 0.091 s
% 3.85/1.40 % (2918561)Peak memory usage: 90 MB
% 3.85/1.40 % (2918561)Instructions burned: 242 (million)
% 3.85/1.40 % (2918531)Refutation found. Thanks to Tanya!
% 3.85/1.40 % SZS status Unsatisfiable for theBenchmark
% 3.85/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/1.50 % (2918531)------------------------------
% 0.07/1.50 % (2918531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/1.50 % (2918531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/1.50 % (2918531)CaDiCaL version: 2.1.3
% 0.07/1.50 % (2918531)Termination reason: Refutation
% 0.07/1.50 % (2918531)Time elapsed: 0.562 s
% 0.07/1.50 % (2918531)Peak memory usage: 132 MB
% 0.07/1.50 % (2918531)Instructions burned: 1610 (million)
% 0.07/1.50 % (2918531)------------------------------
% 0.07/1.50 % (2918531)------------------------------
% 0.07/1.50 % (2918525)Success in time 0.863 s
% 0.07/1.50 % Vampire exiting
%------------------------------------------------------------------------------